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2 years ago

Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,

Mathematics

1 answer:

AveGali [126]2 years ago

4 0

2^(1+2n)

2^(1+0) = 2
2^(1+2) = 2^3 = 8
2^(1+4) = 2^5 = 32

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At a shelter, 1% of the dogs are puppies. There are 8,900 dogs at the shelter. How many are puppies

JulijaS [17]

89 of the dogs are puppies

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2 years ago

Choose the symbol that correctly compares the fractions below.<br> 8/9 ? 1/9

gladu [14]

Answer:

Which means that this equation is also true: 8/9 > 1/9

Step-by-step explanation:

Is 8/9 less than 1/9? Is 8/9 smaller than 1/9? These are the same questions with one answer.

To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:

8/9 = 0.889

1/9 = 0.111

Then, we compare the two decimal numbers to get the answer.

0.889 is not less than 0.111.

Therefore, 8/9 is not less than 1/9 and the answer to the question "Is 8/9 less than 1/9?" is no.

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2 years ago

scores on a test have a mean of 67 and a standard devation of 10. michelle has a score of 87. convert michelle score to a z-scor

klasskru [66]

Answer:

z-score = 2.

Step-by-step explanation:

The z-score = (x - m) / d where x =the person's score, m = the mean and d = the standard deviation.

So we have (87-67)/10

= 2.

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2 years ago

The radius of the circle is 3 millimeters. what is the circles area

Irina18 [472]

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3 years ago

Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?

NikAS [45]

Answer:

Step-by-step explanation:

Step 1: find BC

Given Triangles ABC and ADE are similar,

$\frac{AB}{AD}$ = $\frac{BC}{DE}$

BC = $\frac{AB}{AD}$ x DE

= $\frac{8}{8 + 4}$ x 9

= 6 cm

Step 2: use Pythagorean theorem to find AC and / or AE

Consider triangle ABC,

by Pythagorean theorem,

AB² + BC² = AC²

AC² = 6² + 8² = 100

AC = √100 = 10 (answer... we can see that C is the only one with AC=10.

Step 3: Verify.. even though we know that it is C because AC = 10, you can verify that the ansewer is correct by finding CE and confirming that CE=5

By using similar triangles ABC and ADE,

AC/AE = AB / AD

AE = AD/AB x AC = 12/8 x 10 = 15

CE = AE - AC = 15 - 10 = 5 (answer confirmed)

5 0

2 years ago